Question Consider maximising 6- x² - 4y2 + 2xy where where x ≥ 16. What y-value solves this maximisation problem? Your Answer: Question In the problem, the inequality constraint holds with strict inequality. True False Question Now replace the inequality constraint with the new one that y ≤ 18. What is the value of the Lagrange multiplier in the case where we assume the constraint holds with strict equality? Your Answer: Question In the previous maximisation, which cases have valid critical points? The constraint holds with strict equality. The constraint holds with strict inequality.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider maximising 6 - x² - 4y² + 2xy where where x ≥ 16. What y-value solves this
maximisation problem?
Your Answer:
Question
In the problem, the inequality constraint holds with strict inequality.
True
False
Question
Now replace the inequality constraint with the new one that y ≤ 18. What is the
value of the Lagrange multiplier in the case where we assume the constraint holds
with strict equality?
Your Answer:
Question
In the previous maximisation, which cases have valid critical points?
The constraint holds with strict equality.
The constraint holds with strict inequality.
Transcribed Image Text:Question Consider maximising 6 - x² - 4y² + 2xy where where x ≥ 16. What y-value solves this maximisation problem? Your Answer: Question In the problem, the inequality constraint holds with strict inequality. True False Question Now replace the inequality constraint with the new one that y ≤ 18. What is the value of the Lagrange multiplier in the case where we assume the constraint holds with strict equality? Your Answer: Question In the previous maximisation, which cases have valid critical points? The constraint holds with strict equality. The constraint holds with strict inequality.
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